 # The following numbers are not perfect squares. Give reason, (i) 1057

The following numbers are not perfect squares. Give reason,
(i) 1057
(ii) 23453
(iii) 7928
(iv) 222222
(v) 64000
(vi) 89722
(vii) 222000
(viii) 505050

A number that ends either with 2, 3, 7 or 8 cannot be a perfect square. Also, a number that ends with odd number of zero(s) cannot be a perfect square.
(i) Since the given number 1057 ends with 7, so it cannot be a perfect square.
(ii) Since the given number 23453 ends with 3, so it cannot be a perfect square.
(iii) Since the given number 7928 ends with 8, so it cannot be a perfect square.
(iv) Since the given number 222222 ends with 2, so it cannot be a perfect square.
(v) Since the number 64000 ends in an odd number of zeros, so it cannot be a perfect square.
(vi) Since the number 89722 ends in 2, so it cannot be a perfect square.
(vii) Since the number 222000 ends in an odd number of zeros, so it cannot be a perfect square.
(viii) Since the number 505050 ends in an odd number of zeros, so it cannot be a perfect square.